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Finding the Third Proportional to 263,320 and 621,221

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Solution

The third proportional to 263,320 and 621,221 is: 1,465,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,320 : 621,221 = 621,221 : x
  2. Step 2: Convert to fraction form
    263,320/621,221 = 621,221/x
  3. Step 3: Cross multiply
    263,320x = 621,221 × 621,221
  4. Step 4: Simplify right side
    263,320x = 385,915,530,841
  5. Step 5: Solve for x
    x = 385,915,530,841/263,320
  6. Step 6: Final answer
    x = 1,465,576.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.